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Finding the Third Proportional to 167,704 and 227,876

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Solution

The third proportional to 167,704 and 227,876 is: 309,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,704 : 227,876 = 227,876 : x
  2. Step 2: Convert to fraction form
    167,704/227,876 = 227,876/x
  3. Step 3: Cross multiply
    167,704x = 227,876 × 227,876
  4. Step 4: Simplify right side
    167,704x = 51,927,471,376
  5. Step 5: Solve for x
    x = 51,927,471,376/167,704
  6. Step 6: Final answer
    x = 309,637.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.